Grease the springform pan (20 cm), preheat the oven to 180 degrees.
Finely chop the pistachios with cardamom in the food processor. Add butter, flour and 180 g sugar and work into a crumbly dough. Mix the eggs with the yogurt and stir into the crumbly batter. Pour the batter into the mold. Bake cakes for 45-50 minutes. (Chopstick sample!)
Rub the lime zest and heat with the remaining sugar and 100 ml water in a saucepan until the sugar has dissolved.
Poke holes in the cake with a chopstick and drizzle with hot syrup.